240 research outputs found
Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses
We study the nonequlibrium state of heat conduction in a one-dimensional
system of hard point particles of unequal masses interacting through elastic
collisions. A BBGKY-type formulation is presented and some exact results are
obtained from it. Extensive numerical simulations for the two-mass problem
indicate that even for arbitrarily small mass differences, a nontrivial steady
state is obtained. This state exhibits local thermal equilibrium and has a
temperature profile in accordance with the predictions of kinetic theory. The
temperature jumps typically seen in such studies are shown to be finite-size
effects. The thermal conductivity appears to have a very slow divergence with
system size, different from that seen in most other systems.Comment: 5 pages, 4 figures, Accepted for publication in Phys. Rev. Let
Hidden symmetries in deformed microwave resonators
We explain the ``Hidden symmetries'' observed in wavefunctions of deformed
microwave resonators in recent experiments.We also predict that other such
symmetries can be seen in microwave resonators.Comment: 2 pages, revised and expanded versio
Work distribution functions in polymer stretching experiments
We compute the distribution of the work done in stretching a Gaussian
polymer, made of N monomers, at a finite rate. For a one-dimensional polymer
undergoing Rouse dynamics, the work distribution is a Gaussian and we
explicitly compute the mean and width. The two cases where the polymer is
stretched, either by constraining its end or by constraining the force on it,
are examined. We discuss connections to Jarzynski's equality and the
fluctuation theorems.Comment: 5 pages, 2 figure
Heat conduction in a three dimensional anharmonic crystal
We perform nonequilibrium simulations of heat conduction in a three
dimensional anharmonic lattice. By studying slabs of length N and width W, we
examine the cross-over from one-dimensional to three dimensional behavior of
the thermal conductivity. We find that for large N, the cross-over takes place
at a small value of the aspect ratio W/N. From our numerical data we conclude
that the three dimensional system has a finite non-diverging thermal
conductivity and thus provide the first verification of Fourier's law in a
system without pinning.Comment: 4 pages, 4 figure
Role of pinning potentials in heat transport through disordered harmonic chain
The role of quadratic onsite pinning potentials on determining the size (N)
dependence of the disorder averaged steady state heat current , in a
isotopically disordered harmonic chain connected to stochastic heat baths, is
investigated. For two models of heat baths, namely white noise baths and
Rubin's model of baths, we find that the N dependence of is the same and
depends on the number of pinning centers present in the chain. In the absence
of pinning, ~ 1/N^{1/2} while in presence of one or two pins ~
1/N^{3/2}. For a finite (n) number of pinning centers with 2 <= n << N, we
provide heuristic arguments and numerical evidence to show that ~
1/N^{n-1/2}. We discuss the relevance of our results in the context of recent
experiments.Comment: 5 pages, 2 figures, quantum case is added in modified versio
Heat transport in harmonic lattices
We work out the non-equilibrium steady state properties of a harmonic lattice
which is connected to heat reservoirs at different temperatures. The heat
reservoirs are themselves modeled as harmonic systems. Our approach is to write
quantum Langevin equations for the system and solve these to obtain steady
state properties such as currents and other second moments involving the
position and momentum operators. The resulting expressions will be seen to be
similar in form to results obtained for electronic transport using the
non-equilibrium Green's function formalism. As an application of the formalism
we discuss heat conduction in a harmonic chain connected to self-consistent
reservoirs. We obtain a temperature dependent thermal conductivity which, in
the high-temperature classical limit, reproduces the exact result on this model
obtained recently by Bonetto, Lebowitz and Lukkarinen.Comment: One misprint and one error have been corrected; 22 pages, 2 figure
Waiting for rare entropic fluctuations
Non-equilibrium fluctuations of various stochastic variables, such as work
and entropy production, have been widely discussed recently in the context of
large deviations, cumulants and fluctuation relations. Typically, one looks at
the distribution of these observables, at large fixed time. To characterize the
precise stochastic nature of the process, we here address the distribution in
the time domain. In particular, we focus on the first passage time distribution
(FPTD) of entropy production, in several realistic models. We find that the
fluctuation relation symmetry plays a crucial role in getting the typical
asymptotic behavior. Similarities and differences to the simple random walk
picture are discussed. For a driven particle in the ring geometry, the mean
residence time is connected to the particle current and the steady state
distribution, and it leads to a fluctuation relation-like symmetry in terms of
the FPTD.Comment: 5+7 pages, 3 figure
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